Pith Number

pith:K3SJKZOA

pith:2025:K3SJKZOAI3AJNVMFO43IOUZYC5

not attested not anchored not stored refs pending

High precision PINNs in unbounded domains: application to singularity formulation in PDEs

Anima Anandkumar, Thomas Y. Hou, Yixuan Wang, Ziming Liu, Zongyi Li

arxiv:2506.19243 v1 · 2025-06-24 · cs.LG · cs.NA · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K3SJKZOAI3AJNVMFO43IOUZYC5}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

3 papers in Pith

Fourier Feature Pyramids for Physics-Informed Neural Networks

Dual Variational Neural Network for the $p$-Laplace Problem

ATHENA: Agentic Team for Hierarchical Evolutionary Numerical Algorithms

Receipt and verification

First computed	2026-07-05T11:26:12.050298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56e49565c046c096d58577368753381756ada385ed07a24c0936784242e20c0d

Aliases

arxiv: 2506.19243 · arxiv_version: 2506.19243v1 · doi: 10.48550/arxiv.2506.19243 · pith_short_12: K3SJKZOAI3AJ · pith_short_16: K3SJKZOAI3AJNVMF · pith_short_8: K3SJKZOA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/K3SJKZOAI3AJNVMFO43IOUZYC5 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 56e49565c046c096d58577368753381756ada385ed07a24c0936784242e20c0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd00f4bc2e8d46ffe6d762aff6a5e21f2367cf24c81f3fd9e0f2367268053840",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-06-24T02:01:44Z",
    "title_canon_sha256": "8cf681babe7e1d4f308f5a913e9d0b2293a1480aa6dc6efa536d3a9e77523249"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.19243",
    "kind": "arxiv",
    "version": 1
  }
}